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Simplifying 9(k + -5) + -1(8k + 8) = 3 Reorder the terms: 9(-5 + k) + -1(8k + 8) = 3 (-5 * 9 + k * 9) + -1(8k + 8) = 3 (-45 + 9k) + -1(8k + 8) = 3 Reorder the terms: -45 + 9k + -1(8 + 8k) = 3 -45 + 9k + (8 * -1 + 8k * -1) = 3 -45 + 9k + (-8 + -8k) = 3 Reorder the terms: -45 + -8 + 9k + -8k = 3 Combine like terms: -45 + -8 = -53 -53 + 9k + -8k = 3 Combine like terms: 9k + -8k = 1k -53 + 1k = 3 Solving -53 + 1k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 1k = 3 + 53 Combine like terms: -53 + 53 = 0 0 + 1k = 3 + 53 1k = 3 + 53 Combine like terms: 3 + 53 = 56 1k = 56 Divide each side by '1'. k = 56 Simplifying k = 56
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